{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EURPJ27ZKURB4MEMBYJ7HWHIYE","short_pith_number":"pith:EURPJ27Z","schema_version":"1.0","canonical_sha256":"2522f4ebf955221e308c0e13f3d8e8c109d2094cc75fdb00b9d1b0569a4926f3","source":{"kind":"arxiv","id":"1609.01490","version":1},"attestation_state":"computed","paper":{"title":"A Non-linear GPU Thread Map for Triangular Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Benjam\\'in Bustos, Crist\\'obal A. Navarro, Nancy Hitschfeld","submitted_at":"2016-09-06T11:23:13Z","abstract_excerpt":"There is a stage in the GPU computing pipeline where a grid of thread-blocks, in \\textit{parallel space}, is mapped onto the problem domain, in \\textit{data space}. Since the parallel space is restricted to a box type geometry, the mapping approach is typically a $k$-dimensional bounding box (BB) that covers a $p$-dimensional data space. Threads that fall inside the domain perform computations while threads that fall outside are discarded at runtime. In this work we study the case of mapping threads efficiently onto triangular domain problems and propose a block-space linear map $\\lambda(\\omeg"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.01490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2016-09-06T11:23:13Z","cross_cats_sorted":[],"title_canon_sha256":"dfdeeeae784598061189187be0d3a99d4e4e2755773d09307f0d6329c76a2ef1","abstract_canon_sha256":"04227be74fde64aeb323b0c1deea1d3859391e09434462922415c6c52d21c771"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:39.406497Z","signature_b64":"wRPvahV+H7CGeVSqQ50PivbojlRp05qDLwujMy1POUzkqXIyH8C/e9FWUt9RZOxzQ2frvpz/YubGZZUyRH5FBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2522f4ebf955221e308c0e13f3d8e8c109d2094cc75fdb00b9d1b0569a4926f3","last_reissued_at":"2026-05-18T01:05:39.405877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:39.405877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Non-linear GPU Thread Map for Triangular Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Benjam\\'in Bustos, Crist\\'obal A. Navarro, Nancy Hitschfeld","submitted_at":"2016-09-06T11:23:13Z","abstract_excerpt":"There is a stage in the GPU computing pipeline where a grid of thread-blocks, in \\textit{parallel space}, is mapped onto the problem domain, in \\textit{data space}. Since the parallel space is restricted to a box type geometry, the mapping approach is typically a $k$-dimensional bounding box (BB) that covers a $p$-dimensional data space. Threads that fall inside the domain perform computations while threads that fall outside are discarded at runtime. In this work we study the case of mapping threads efficiently onto triangular domain problems and propose a block-space linear map $\\lambda(\\omeg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01490","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.01490","created_at":"2026-05-18T01:05:39.405968+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.01490v1","created_at":"2026-05-18T01:05:39.405968+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01490","created_at":"2026-05-18T01:05:39.405968+00:00"},{"alias_kind":"pith_short_12","alias_value":"EURPJ27ZKURB","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"EURPJ27ZKURB4MEM","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"EURPJ27Z","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE","json":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE.json","graph_json":"https://pith.science/api/pith-number/EURPJ27ZKURB4MEMBYJ7HWHIYE/graph.json","events_json":"https://pith.science/api/pith-number/EURPJ27ZKURB4MEMBYJ7HWHIYE/events.json","paper":"https://pith.science/paper/EURPJ27Z"},"agent_actions":{"view_html":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE","download_json":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE.json","view_paper":"https://pith.science/paper/EURPJ27Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.01490&json=true","fetch_graph":"https://pith.science/api/pith-number/EURPJ27ZKURB4MEMBYJ7HWHIYE/graph.json","fetch_events":"https://pith.science/api/pith-number/EURPJ27ZKURB4MEMBYJ7HWHIYE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE/action/storage_attestation","attest_author":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE/action/author_attestation","sign_citation":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE/action/citation_signature","submit_replication":"https://pith.science/pith/EURPJ27ZKURB4MEMBYJ7HWHIYE/action/replication_record"}},"created_at":"2026-05-18T01:05:39.405968+00:00","updated_at":"2026-05-18T01:05:39.405968+00:00"}